Answers
Step-by-step explanation:
5 people.
how many ways can they line up in general ?
5 choices for the 1st position, then no matter what we picked, 4 remaining for the second, then 3 for the 3rd, 2 for the 4th and 1 for the 5th :
5×4×3×2×1 = 5! = 120 ways.
but we have restrictions. we don't want the girls not just anywhere in the line, we want them to be at the end points of the line.
and none of the boys should ever be at one of the ends.
so, we actually have only
2×1 for the endpoints and 3×2×1 for the 3 boy positions in the middle.
in total
2×1×3×2×1 = 12
under these constrictions they have actually only 12 different ways to line up.
Related Questions
A triangle has an area of 14 square units. Its height is 7 units. What is the length of its base
Answers
Answer:
4 units
Step-by-step explanation:
the area (A) of a triangle is calculated as
A = [tex]\frac{1}{2}[/tex] bh ( b is the base and h the height )
given A = 14 and h = 7 , then
[tex]\frac{1}{2}[/tex] × 7b = 14 ( multiply both sides by 2 to clear the fraction )
7b = 28 ( divide both sides by 7 )
b = 4 units
Step-by-Step Explanation:
Let ‘x’ be the Base of the Triangle.
Area = 14 square units
Height = 7 units
Therefore,
= Area = 1/2 * Base * Height
= 1/2 * x * 7 = 14
= x/2 * 7 = 14
= 7x/2 = 14
= 7x = 14 * 2 = 28
=> x = 28/7 = 4
Therefore, Base = x = 4 units
solve the quadractic equation 3x^2-5x-7=0
Answers
Hello!
[tex]\sf 3x^2-5x-7=0\\\\x = \dfrac{-b\±\sqrt{b^{2}-4ac } }{2a} \\\\\\x = \dfrac{-(-5)\±\sqrt{(-5)^{2}-4 ~\times~3~\times~ (-7) } }{2~\times~ (-5)} \\\\\\\boxed{\sf x = \dfrac{5\±\sqrt{109} }{-10}}[/tex]
help me please
Trina invests $ 16000 at a rate of 5% per year interest. Work out the value of her investment at the end of a year.
Answers
Answer:
16820.16 dollar.
Step-by-step explanation:
future =present value *(1+i)^n
n=1 year.
PLS HELP I NEED THIS QUICKKKKK
Answers
Answer:
the top two are correct and the third one is the yogurt
If you bought a pre-made fruit salad at the store, the price is $14. 99. How much do you save by making your own?
Answers
What is the value of x?
Answers
Step-by-step explanation:
2 things to remember :
1. the sum of all angles in a triangle is always 180°.
2. the sum of all angles around a single point on one side of a line is also 180° (because the line can be seen as the diameter of a circle, the point as its center, and so every side of the line is a half-circle = 180°).
so, the third, unnamed angle in the triangle is the supplementary angle to 142° (that means they complete each other to full 180°).
it is therefore
180 - 142 = 38°
and then, inside the triangle
180 = 66 + x + 38 = 104 + x
x = 76°
If a cone had a volume of 3 pi and a radius of 1 then what is the height
Answers
Answer:
it would be around 9 or something, im estimating.
Step-by-step explanation:
Tell whether the figure is a polygon. If it is a polygon,
classify it and tell whether it is convex or concave.
Answers
Answers:
Polygon? YesClassify: PentagonThe polygon is concave===================================================
Explanation:
The figure is a polygon because it's composed of straight lines only, and we have a closed loop (or enclosed area).
This is a pentagon since it has 5 sides
The pentagon is concave because of the angle kicked in up top that caves in, so to speak. This interior angle exceeds 180 degrees and is known as a reflex angle.
Here's another way to determine the figure is concave: It's possible to pick two points inside the polygon such that the segment formed between them crosses outside the boundaries. See the diagram below.
Expand to write an equivalent expression
-1/4 (-8x + 12y)
Answers
Answer:
3y-2x.Step-by-step explanation:
Step 1:
Simplify 1/4:Solution: 1/4(12y - 8x).Step 2:
Pull out like factors:
12y - 8x = -4(2x -3y)Solution to this question:
3y - 2x.Answer:
2x-3y
Step-by-step explanation:
-1/4×-8x= 8/4x = 2x
-1/4×12y= - 12y/4 = -3y
2x-3y
i need help for brianliest
Answers
please help me with this i’m lost
Answers
Answer:
2 is fuction
3 fuction
4 is not a fuction
5 not a fuction
6 is fuction
7 fuction
8 not a fuction
9 fuction
10 fuction
Step-by-step explanation:
the x's should not be repeated
I need help with all of these questions you see on the top. there the red squares. please someone smart. this is one of the problems I need to finish this tonight.
Answers
Answer:
101°
Step-by-step explanation:
The angles BEA and BED are a linear pair. They total 180°. (They are supplementary.)
__
∠BEA +∠BED = 180° . . . angles of a linear pair are supplementary
79° +∠BED = 180° . . . . use the given angle value
∠BED = 101° . . . . . . . . . subtract 79°
The perimeter of an equilateral triangle is 5.1 m. How long are its sides?
Answers
Answer:
1.7 meters
Step-by-step explanation:
because an equilateral triangle has 3 sides and they are all the same you can just divide 5.1 by 3
5.1 / 3 = 1.7
it is 1.7 m
Answer:
x are sides of the traingle
5.1 = 51upon10 51/10
51 upon 10 =3x
3x = 51 upon 10
x= 3/51 upon 10 =
x= 3*10upon 51
=10upon 17
side of the traingle is 10/17
Step-by-step explanation:
The points M(-7,2), N(-3,4), O(-5,8)M(−7,2),N(−3,4),O(−5,8), and P(-9,6)P(−9,6) form a quadrilateral. Find the desired slopes and lengths, then fill in the words that BEST identifies the type of quadrilateral.
Answers
The slope of line PO and MN is 0.5. And the slope of the line ON and MP is negative 2. Then each length of the quadrilateral is 4.47 units.
What is a quadrilateral?It is a quadrilateral with four sides. The total interior angle is 360 degrees.
The points M(−7,2), N(−3,4), O(−5,8), and P(−9,6) form a quadrilateral.
Then the slope of each line of the quadrilateral will be
The slope of the line PO will be
PO = (8-6)/(-5+9)
PO = 2/4
PO = 0.5
The slope of the line ON will be
ON = (8-4)/(-5+3)
ON = 4/(-2)
ON = -2
The slope of the line MN will be
MN = (4-2)/(-3+7)
MN = 2/4
MN = 0.5
The slope of the line MP will be
MP = (6-2)/(-9+7)
MP = 4/(-2)
MP = -2
Then each length of the quadrilateral will be
The length of PO will be
PO = √[(-9+5)² + (6-8)²]
PO = 4.47
The length of ON will be
ON = √[(-5+3)² + (8-4)²]
ON = 4.47
The length of MN will be
MN = √[(-3+7)² + (4-2)²]
MN = 4.47
The length of MP will be
MP = √[(-9+7)² + (6-2)²]
MP = 4.47
More about the quadrilateral link is given below.
https://brainly.com/question/13805601
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One group of friends, Lamoie, Shawn, and Colin, are all one year apart. Another group of friends, Conor
Jakeem, and Caleb, are two years apart. Conor is two years younger than Lamoie. Lamoie is the oldest of his
group. Caleb is the youngest of his group. Jakeem is older than Colin. Which boys are the same age? Explain
your thinking.
Answers
EXPLANATION:
Lamoie(oldest), shawn, colin
Conor(2 years younger), jakeem, caleb (youngest)
from here i gave them random ages starting at 12(age doesn’t matter because they would be the same age either way just because of the years apart). lamoie is the oldest, so going down from his group is 12,11,10.
conor is 2 years younger than him, so that makes him 10. and we know caleb is the youngest of his group, so going down my two is 10,8,6. conor is 10 and colin is 10.
if 60% of a number is 120 and 25% of the same number is 50 find 85% of that number
PLEASE HELP!
CORRECT= BRAINLIEST
Answers
Answer:
85% of 200 = 170
Step-by-step explanation:
Method
Let the number = x
60/100 * x = 120
0.6 x = 120 Divide by 0.6
0.6x/0.6 = 120/0.6
x = 200
25% x = 50 Convert 25% to a fraction
25/100 x = 50
0.25x = 50 Divide by 0.25
0.25x/0.25 = 50/0.25
x = 200
85% 200 = x Change 85% to a fraction
85/100 * 200 = x Multiply 85 and 200 together
17000 /100 = x Divide by 100
170 = x
Answer
85% of 200 = 170
Help plsss!! I’d rlly appreciate it :]
(You don’t have to answer all of them but I rlly need the first question!!)
The Apple iPad Mini 2 has dimensions of: Height: 7.9 in, Width: 5.30 in, Depth: 0.30 in.
1. What is the volume of the Apple iPad Mini 2?
2. If Pear-Apple applies a scale factor of 1.25 to the iPad Mini 2 to make a new tablet, what would be the new volume in cubic inches?
3. Suppose Pear-Apple applies a scale factor of .75 to the iPad Mini 2 to make the Lil Mini. What would be the volume for the Lil Mini in cubic inches.
4. Pear-Apple scraps their plans and decide to come up with a product that is half the volume of the iPad Mini. What scale factor should they use and what should the dimensions be?
5. Pear-Apple also wants to make a bigger tablet. They want the tablet to have twice the volume from the iPad Mini 2. What’s the scale factor and dimensions of the tablet?
Answers
The volume of the Apple iPad Mini 2 is 12.561 in³.
The new volume of the Pear-Apple is 24.53 in³.
The new volume of the Pear-Apple is 5.3in³.
The scale factor to have a volume that is half that of the iPad Mini is 0.79.
The scale factor to have a volume that is double that of the iPad Mini is 1.26
What is the volume of the Apple iPad Mini 2?Volume = length x width x height
7.9 x 5.30 x 0.30 = 12.561 in³
What is the volume after the scale factors are applied?Dimensions after the 1.25 scale factor is applied: (1.25 x 7.9) x (1.25 x 5.30) x (1.25 x 0.3)
= 9.875 x 6.625 x0.375 = 24.53 in³
Dimensions after the 0.75 scale factor is applied: (0.75 x 7.9) x (0.75 x 5.30) x (0.75 x 0.3)
= 5.925 x 3.975 x 0.225 = 5.3in³
Scale factor to have a volume that is double that of the iPad Mini : [tex]2^{1/3}[/tex] = 1.26
Scale factor to have a volume that is half that of the iPad Mini : [tex]0.5^{1/3}[/tex] = 0.79
To learn more about scale drawings, please check: https://brainly.com/question/26388230
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Michaels goal is to walk 5 miles per week he has already walked 2 1/4 miles how many more miles must he walk to reach his goal
Answers
Answer:
2 3/4 miles more
Step-by-step explanation:
5 - 2 1/4 = 2 3/4
A piece of rope is 54 inches long. It is cut into pieces that are each 9 inches long.
How many pieces of rope are there?
plsss I'm at a f
Answers
Answer:
6 pieces of rope
Step-by-step explanation:
if the total is 54 and each are 9 you can make an equation
54= 9 x a
solve for a
to do this you divide 54 by 9
54/9=6
Answer:
6 pieces of rope
Step-by-step explanation:
54/9
The probability that it will snow tomorrow is 20%. What are the odds in favour of snowing tomorrow?
A) 4 to 1
B) 1 to 5
C) 1 to 4
D) 5 to 1
Answers
A square is shown below. Which expression can be used to find the area, in square units, of the shaded triangle in the square?
Answers
Answer:
See below ~
Step-by-step explanation:
Formula to find shaded area :
Area (shaded) = Area (square) - Area (white triangle)Area (shaded) = s² - 1/2bhArea (shaded) = (4)² - 1/2(4)(4)Area (shaded) = 16 - 8Area (shaded) = 8 square unitsKindly check and refer this working to find a satisfactory expression.
Area
1/2BH1/2(4)(4)1/2(4²16/28units²Quadrilateral abcd has vertices A(4,0),B(3,3),C(-3,1) and D(-2,-2)
Answers
Answer:
very easy
Step-by-step explanation:
First of all
made a distance between
AB
BC
CD
AD
and diagnals
AC
BD
If the all are equal means it is a square
if diagnols are different means it is rectangle
if diagnals are not equal means it is parallelogram
thats it try your best
you can do it
best of luck
Please Help ASAP! What is the amplitude of the function graphed below?
Answers
Answer:
2
Step-by-step explanation:
To find the amplitude, find the distance between the the highest and lowest y value and divide it by 2.
[tex] | \frac{2 - ( - 2)}{2} | = 2[/tex]
The amplitude of the function is 2.
Does anyone know the answer and how to get the answer ?
Answers
Answer:
3. [tex]384\ square\ inches[/tex]
Step-by-step explanation:
To solve this, find the areas of the smaller geometric shapes and add them together.
1. Rectangle (top)
[tex]A_1 = lw = 20 * 5 = 100[/tex]
2. Rectangle (middle)
[tex]A_2 = lw = 20 * 8 = 160[/tex]
3. Rectangle (bottom)
[tex]A_3 = lw = 20 * 5 = 100[/tex]
4. Triangle (left)
[tex]A_4 = \frac{bh}{2} = \frac{8*3}{2} = \frac{24}{2} = 12[/tex]
4. Triangle (right)
[tex]A_5 = \frac{bh}{2} = \frac{8*3}{2} = \frac{24}{2} = 12[/tex]
Add the areas together for the total surface area.
[tex]A_t = 100 + 160 + 100 + 12 + 12 = 384[/tex]
NEED THIS QUICK Karen earns $28,000 per year as a fashion consultant. She has personal exemptions that total $2,100. Use the table below to determine how much will be withheld annually for state income taxes.
Annual Gross Pay Tax Rate
First $1,000 1.5%
Next $2,000 3%
Next $2,000 4.5%
Over $5,000 5%
Karen earns $28,000 per year as a fashion consultant. She has personal exemptions that total $2,100. Use the table below to determine how much will be withheld annually for state income taxes.
Annual Gross Pay Tax Rate
First $1,000 1.5%
Next $2,000 3%
Next $2,000 4.5%
Over $5,000 5%
$1,460.00
$3,626.00
$1,210.00
$1,315.00
Answers
Answer:
$1,210
Step-by-step explanation:
$28,000 - $2,100 = $25,900
$25,900 - $5,000 = $20,900
1.5% × $1,000 = $15
3% × $2,000 = $60
4.5% × $2,000 = $90
5% × $20,900 = $1,045
$15 + $60 + $90 + $1,045 = $1,210
(−1)^nx^n/ cubicroot n find the radius of convergence
Answers
The radius of Convergence for the function [tex]\frac{\[(-1)^{n} \; x^{n} }{\sqrt[3]{n} }[/tex] is 1.
What is radius of convergence?The radius of the largest disk at the center of the series in which the series converges.
Perform the ratio test for absolute convergence, which says
if [tex]\lim_{n \to \infty} \frac{a_{n}}{a_{n+1}}[/tex] =L
Then,
1) if L<1, the series is absolutely convergent
2) If L>1, the series is divergent
3) If L= 1, apply a different test.
Now, Applying test
[tex]a_{n+1}[/tex] =[tex]\frac{(-1)^{{n+1} } \; x^{n+1}}{\sqrt[3]{n+1} }[/tex]
So,
[tex]\lim_{n \to \infty} \frac{a_{n+1}}{a_{n}}[/tex] = [tex]\lim_{n \to \infty}|\frac{ (-1)^{{n+1} } \; x^{n+1}/\sqrt[3]{n+1} }{ (-1)^{n} \; x^{n} /\sqrt[3]{n} } |[/tex]
= [tex]\lim_{n \to \infty}|\frac{ (-1)^{{n+1} } \; x^{n+1}\sqrt[3]{n}}{ (-1)^{n} \; x^{n} \sqrt[3]{n+1} } |[/tex]
= [tex]\lim_{n \to \infty}|\frac{ (-1) \; x^{n}\sqrt[3]{n}}{ \sqrt[3]{n+1} } |[/tex]
= [tex]\lim_{n \to \infty}\sqrt[3]{\frac{1}{1+\frac{1}{n}} } } |x|[/tex]
Applying the limit n→∞,
= 1 x |x|
= |x|
By ratio test, the given series will be convergent if |x|< 1.
So, the radius of Convergence = 1
Learn more about radius of Convergence here:
https://brainly.com/question/18763238
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** GIVING BRAINLIEST!! **
Problem 2
Kayla has a goal to hike at least 75 miles. She has
already hiked 20 miles.
She plans to hike n miles each week for the next 6
weeks.
Which inequality describes the nuinber of miles Kayla
should hike each week to meet her goal?
20 + 6n < 75
20 - 6n < 75
20 + 6n > 75
20 - 6n > 75
( the signs are supposed to have the line underneath it )
Answers
Answer:
20 + 6n > 75(the sign has an underline)
To determine how many miles Kayla needs to hike each week for the next 6 weeks to reach her goal of at least 75 miles, we can subtract the miles she has already hiked from her target goal and divide it by the number of weeks remaining.
Target goal - Miles already hiked = Miles remaining
75 miles - 20 miles = 55 miles remaining
Now, we divide the remaining miles by the number of weeks:
55 miles / 6 weeks = 9.17 miles per week (approximately)
Therefore, Kayla needs to hike approximately 9.17 miles each week for the next 6 weeks in order to reach her goal of at least 75 miles.
HELP NEED NOWWWWW I WILL GIVE U BRAINLIEST
Answers
Heyo!
idqfxemo iis here to help!
The answer is...
A.
Hopefully, this helps you!!
idqfxemo~
HELPPP pls pls pls tyty
Answers
Answer:
A=72CM^2
Step-by-step explanation:
The answer is 72cm^2 because the area of a triangle is h x b divided by two because the triangle is half of a square, since the square is side times side, the answer is 12x12 divided by two, wich is 144/2. The final answer is 72
Answer:
72
Step-by-step explanation:
area of a triangle = 1/2 × base length × height
base length = 12 and height = 12
so area = 1/2 × 12 × 12
==> multiply 12 by 12
area = 1/2 × 144
==> divide 144 by 2
area = 72
Find the equation of the line that has a slope of -3 and a y-intercept at 5.
y = -3x + 5
y = -5x + 3
y = 5x - 3
y = 3x - 5
2.
Find the equation of the line that has a y-intercept of -1 and a slope of 1/2.
y = -x + 1/2
y = 1/2 x - 1
y = -1/2 x + 1
y = 1x - 1/2
3.
Find the equation of the line where m = 1 and b = 8.
y = x + 8
y = 8 - x
y = 8x + 1
y = 8
4.
Find the equation of the line that goes through the point (1, -1) and has a slope of 5.
y = 5x - 6
y = 5x + 1
y = 5x - 1
y = x + 5
5.
Find the equation of the line that goes through the point (2, -3) and has a slope of -1.
y = -x - 1
y = 2x - 3
y = -x - 3
y = -x + 2
6.
Find the equation of the line that goes through the point (5,1) and has a slope of 0.
y = 5
y = 1
y = 5x + 1
x = 5
7.
Find the equation of the line that goes through the point (-2, -2) and has a slope of -4.
y = -2x - 2
y = -4x - 10
y = -4x - 2
y = -2x - 4
8.
Find the equation of the line that goes through the points (0, 4) and (10, 2).
y = -1/5 x + 2
y = -5x + 4
y = -1/5 x + 4
y = 1/5 x - 4
9.
Find the equation of the line that goes through the points (2, 2) and (6, 6).
y = 2x + 6
y = 6x + 2
y = x
y = -x
10.
Find the equation of the line that goes through the points (0, 6) and (12, 2).
y = 12x + 2
y = -3x + 6
y = -1/3 x + 6
y = -1/3 x + 2
11.
Find the equation of the line that goes through the points (4, 4) and (8, 6).
y = 4x + 6
y = 1/2 x + 2
y = 2x - 4
y = 1/2 x + 4
Answers
Step-by-step explanation:
1. A
2. B
3. A
4. A
5. A
6. B
7. B
8.C
9. C
10. C
11. C